Atkin-Lehner |
2+ 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
6336f |
Isogeny class |
Conductor |
6336 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1216512 = 212 · 33 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11- 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-180,-928] |
[a1,a2,a3,a4,a6] |
j |
5832000/11 |
j-invariant |
L |
2.6071176597226 |
L(r)(E,1)/r! |
Ω |
1.3035588298613 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6336c2 3168a1 6336a2 69696n2 |
Quadratic twists by: -4 8 -3 -11 |